\(\Leftrightarrow x\cdot\left(-\dfrac{5}{4}-\dfrac{6}{5}\right)=-\dfrac{1}{2}-\dfrac{3}{7}=\dfrac{-7-6}{14}=\dfrac{-13}{14}\)
\(\Leftrightarrow x\cdot\dfrac{25+24}{20}=\dfrac{13}{14}\)
\(\Leftrightarrow x=\dfrac{13}{14}:\dfrac{39}{20}=\dfrac{13}{14}\cdot\dfrac{20}{39}=\dfrac{1}{3}\cdot\dfrac{10}{7}=\dfrac{10}{21}\)